15268368690576 has 75 divisors (see below), whose sum is σ = 44191495843473. Its totient is φ = 5089409340480.

The previous prime is 15268368690457. The next prime is 15268368690611. The reversal of 15268368690576 is 67509686386251.

The square root of 15268368690576 is 3907476.

It is a perfect power (a square), and thus also a powerful number.

15268368690576 is a `hidden beast` number, since 1 + 52 + 68 + 368 + 6 + 90 + 5 + 76 = 666.

15268368690576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13671683730576 + 1596684960000 = 3697524^2 + 1263600^2 .

It is a super-2 number, since 2×15268368690576² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 140614866 + ... + 140723406.

Almost surely, 2^{15268368690576} is an apocalyptic number.

15268368690576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15268368690576 is the 3907476-th square number.

It is an amenable number.

15268368690576 is an abundant number, since it is smaller than the sum of its proper divisors (28923127152897).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15268368690576 is an frugal number, since it uses more digits than its factorization.

15268368690576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217102 (or 108546 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 15268368690576 in words is "fifteen trillion, two hundred sixty-eight billion, three hundred sixty-eight million, six hundred ninety thousand, five hundred seventy-six".